853861333655808 has 360 divisors, whose sum is σ = 2571776726815296. Its totient is φ = 281747754086400.

The previous prime is 853861333655779. The next prime is 853861333655831. The reversal of 853861333655808 is 808556333168358.

It is a happy number.

853861333655808 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 6 + 1 + 3 + 3 + 36 + 5 + 580 + 8 = 666.

It is a super-2 number, since 2×853861333655808² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5597876503 + ... + 5598029033.

Almost surely, 2^{853861333655808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853861333655808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285888363407648).

853861333655808 is an abundant number, since it is smaller than the sum of its proper divisors (1717915393159488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

853861333655808 is a wasteful number, since it uses less digits than its factorization.

853861333655808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155283 (or 155260 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 853861333655808 in words is "eight hundred fifty-three trillion, eight hundred sixty-one billion, three hundred thirty-three million, six hundred fifty-five thousand, eight hundred eight".